Magma V2.19-8 Tue Aug 20 2013 23:59:37 on localhost [Seed = 2084181310] Type ? for help. Type -D to quit. Loading file "K13n1430__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1430 geometric_solution 11.12128165 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 2310 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -4 0 0 4 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346071668957 0.448483143263 0 4 2 0 0132 0132 2103 3201 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 -3 -1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.040029523908 0.713282614968 1 5 6 0 2103 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 3 0 -3 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392708227413 0.877998108196 6 4 0 7 0132 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.299346717004 1.887000350591 3 1 5 7 1230 0132 3120 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.917995710846 0.516932752533 8 2 4 9 0132 0132 3120 0132 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 -3 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365283178079 1.093184919830 3 10 8 2 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 -3 3 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365283178079 1.093184919830 4 9 3 10 3120 0321 0132 1230 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.976424179458 0.489551916298 5 9 10 6 0132 3012 1230 0132 0 0 0 0 0 0 0 0 -1 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 0 0 3 1 3 0 -4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656630505003 0.438979198026 8 11 5 7 1230 0132 0132 0321 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638539024323 1.934379751689 7 6 11 8 3012 0132 1023 3012 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638539024323 1.934379751689 12 9 10 12 0132 0132 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.288146225857 0.282473378552 11 11 12 12 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.751081937741 1.154925335296 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_7' : negation(d['c_0101_4']), 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : negation(d['c_0101_8']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_4']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : d['c_0110_10'], 'c_1100_6' : d['c_0110_10'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0110_10'], 'c_1100_3' : d['c_0110_10'], 'c_1100_2' : d['c_0110_10'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0011_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0101_8']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_11'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_2'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_2'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0011_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0011_10'], 'c_1100_8' : d['c_0110_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_2, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_4, c_0101_5, c_0101_8, c_0110_10, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 33 Groebner basis: [ t - 208856667423428382579916572247/18498638236073060810940726258*c_1001\ _0^32 - 2709412209103058245132901027/83894050957247441319459076*c_1\ 001_0^31 - 5038583778896460079837680457849/369972764721461216218814\ 52516*c_1001_0^30 - 10479703409431141277251878707863/36997276472146\ 121621881452516*c_1001_0^29 - 8743043957292350758758473195387/12332\ 425490715373873960484172*c_1001_0^28 - 15064790375630410340696063029699/12332425490715373873960484172*c_10\ 01_0^27 - 12089000846107847370995070511487/528532521030658880312592\ 1788*c_1001_0^26 - 63125015965959245794618718059535/184986382360730\ 60810940726258*c_1001_0^25 - 95678802529804260247342876810879/18498\ 638236073060810940726258*c_1001_0^24 - 42097593997281670617964907721353/6166212745357686936980242086*c_100\ 1_0^23 - 80977080053963331417525593273521/9249319118036530405470363\ 129*c_1001_0^22 - 54429848765853965247943484871851/5285325210306588\ 803125921788*c_1001_0^21 - 23497790970194143094873631589597/2055404\ 248452562312326747362*c_1001_0^20 - 1787153683696911728341712783975/150395432813602120414152246*c_1001_\ 0^19 - 427448756589387836720700595285031/36997276472146121621881452\ 516*c_1001_0^18 - 64149807484586403327553433554357/6166212745357686\ 936980242086*c_1001_0^17 - 5147580205711790841637079306973/58725835\ 6700732089236213532*c_1001_0^16 - 4918264034214086135854558854295/7\ 55046458615226971875131684*c_1001_0^15 - 13788310287873525703264442554093/3083106372678843468490121043*c_100\ 1_0^14 - 44850503266125673919516995570633/1849863823607306081094072\ 6258*c_1001_0^13 - 34565175134875627099583508307885/369972764721461\ 21621881452516*c_1001_0^12 + 127364648045829489208093547845/9486481\ 14670413374920037244*c_1001_0^11 + 6795282409172054089835175056785/9249319118036530405470363129*c_1001\ _0^10 + 16549399053064153804719439098863/18498638236073060810940726\ 258*c_1001_0^9 + 1668939069204012300167546880801/205540424845256231\ 2326747362*c_1001_0^8 + 4214522372454214344993858627001/61662127453\ 57686936980242086*c_1001_0^7 + 8619678566433583397359724799011/1849\ 8638236073060810940726258*c_1001_0^6 + 1554636689996544212520984476737/5285325210306588803125921788*c_1001\ _0^5 + 301682256972341413448896811753/2642662605153294401562960894*\ c_1001_0^4 + 36940613609943782835311004743/142297217200562006238005\ 5866*c_1001_0^3 + 70808082558134980148684261365/2845944344011240124\ 760111732*c_1001_0^2 + 27970988864245794663124415512/10277021242262\ 81156163373681*c_1001_0 + 149764603496408215753368607405/1849863823\ 6073060810940726258, c_0011_0 - 1, c_0011_10 + 5/2*c_1001_0^32 + 5*c_1001_0^31 + 25*c_1001_0^30 + 40*c_1001_0^29 + 231/2*c_1001_0^28 + 163*c_1001_0^27 + 339*c_1001_0^26 + 436*c_1001_0^25 + 1411/2*c_1001_0^24 + 844*c_1001_0^23 + 2221/2*c_1001_0^22 + 2471/2*c_1001_0^21 + 1360*c_1001_0^20 + 2755/2*c_1001_0^19 + 1307*c_1001_0^18 + 1151*c_1001_0^17 + 1911/2*c_1001_0^16 + 1341/2*c_1001_0^15 + 481*c_1001_0^14 + 220*c_1001_0^13 + 101*c_1001_0^12 - 69/2*c_1001_0^11 - 77*c_1001_0^10 - 185/2*c_1001_0^9 - 88*c_1001_0^8 - 73*c_1001_0^7 - 97/2*c_1001_0^6 - 63/2*c_1001_0^5 - 9*c_1001_0^4 - 17/2*c_1001_0^3 - 3*c_1001_0^2 - 5/2*c_1001_0 - 1/2, c_0011_11 - c_1001_0^31 - 9/2*c_1001_0^30 - 25/2*c_1001_0^29 - 36*c_1001_0^28 - 127/2*c_1001_0^27 - 144*c_1001_0^26 - 403/2*c_1001_0^25 - 747/2*c_1001_0^24 - 451*c_1001_0^23 - 693*c_1001_0^22 - 763*c_1001_0^21 - 1941/2*c_1001_0^20 - 992*c_1001_0^19 - 2091/2*c_1001_0^18 - 982*c_1001_0^17 - 1743/2*c_1001_0^16 - 1399/2*c_1001_0^15 - 1065/2*c_1001_0^14 - 617/2*c_1001_0^13 - 204*c_1001_0^12 - 55/2*c_1001_0^11 + 21/2*c_1001_0^10 + 151/2*c_1001_0^9 + 69*c_1001_0^8 + 64*c_1001_0^7 + 51*c_1001_0^6 + 39*c_1001_0^5 + 25/2*c_1001_0^4 + 8*c_1001_0^3 + 1/2*c_1001_0^2 + 4*c_1001_0 + 1/2, c_0011_2 - c_1001_0^2 - 1, c_0101_1 + c_1001_0, c_0101_10 - 4*c_1001_0^31 - 12*c_1001_0^30 - 44*c_1001_0^29 - 96*c_1001_0^28 - 212*c_1001_0^27 - 385*c_1001_0^26 - 644*c_1001_0^25 - 1003*c_1001_0^24 - 1384*c_1001_0^23 - 1872*c_1001_0^22 - 2248*c_1001_0^21 - 2633*c_1001_0^20 - 2816*c_1001_0^19 - 2831*c_1001_0^18 - 2704*c_1001_0^17 - 2319*c_1001_0^16 - 1888*c_1001_0^15 - 1352*c_1001_0^14 - 828*c_1001_0^13 - 452*c_1001_0^12 - 84*c_1001_0^11 + 90*c_1001_0^10 + 188*c_1001_0^9 + 210*c_1001_0^8 + 160*c_1001_0^7 + 144*c_1001_0^6 + 96*c_1001_0^5 + 41*c_1001_0^4 + 16*c_1001_0^3 + 5*c_1001_0^2 + 8*c_1001_0 + 5, c_0101_11 - c_1001_0^4 - c_1001_0^2 - 1, c_0101_12 + 1/2*c_1001_0^30 + 1/2*c_1001_0^29 + 4*c_1001_0^28 + 7/2*c_1001_0^27 + 16*c_1001_0^26 + 27/2*c_1001_0^25 + 83/2*c_1001_0^24 + 35*c_1001_0^23 + 77*c_1001_0^22 + 67*c_1001_0^21 + 217/2*c_1001_0^20 + 96*c_1001_0^19 + 239/2*c_1001_0^18 + 102*c_1001_0^17 + 211/2*c_1001_0^16 + 151/2*c_1001_0^15 + 145/2*c_1001_0^14 + 65/2*c_1001_0^13 + 36*c_1001_0^12 - 1/2*c_1001_0^11 + 15/2*c_1001_0^10 - 25/2*c_1001_0^9 - 3*c_1001_0^8 - 10*c_1001_0^7 - 3*c_1001_0^6 - 6*c_1001_0^5 + 3/2*c_1001_0^4 - 2*c_1001_0^3 + 3/2*c_1001_0^2 - c_1001_0 + 3/2, c_0101_4 + 5/2*c_1001_0^32 + 5*c_1001_0^31 + 25*c_1001_0^30 + 40*c_1001_0^29 + 231/2*c_1001_0^28 + 163*c_1001_0^27 + 339*c_1001_0^26 + 436*c_1001_0^25 + 1411/2*c_1001_0^24 + 844*c_1001_0^23 + 2221/2*c_1001_0^22 + 2471/2*c_1001_0^21 + 1360*c_1001_0^20 + 2755/2*c_1001_0^19 + 1307*c_1001_0^18 + 1151*c_1001_0^17 + 1911/2*c_1001_0^16 + 1341/2*c_1001_0^15 + 481*c_1001_0^14 + 220*c_1001_0^13 + 101*c_1001_0^12 - 69/2*c_1001_0^11 - 77*c_1001_0^10 - 185/2*c_1001_0^9 - 88*c_1001_0^8 - 73*c_1001_0^7 - 97/2*c_1001_0^6 - 63/2*c_1001_0^5 - 9*c_1001_0^4 - 17/2*c_1001_0^3 - 3*c_1001_0^2 - 5/2*c_1001_0 - 1/2, c_0101_5 + 1/2*c_1001_0^30 + c_1001_0^29 + 5*c_1001_0^28 + 8*c_1001_0^27 + 23*c_1001_0^26 + 33*c_1001_0^25 + 135/2*c_1001_0^24 + 90*c_1001_0^23 + 141*c_1001_0^22 + 178*c_1001_0^21 + 449/2*c_1001_0^20 + 531/2*c_1001_0^19 + 281*c_1001_0^18 + 599/2*c_1001_0^17 + 559/2*c_1001_0^16 + 503/2*c_1001_0^15 + 212*c_1001_0^14 + 293/2*c_1001_0^13 + 107*c_1001_0^12 + 97/2*c_1001_0^11 + 15*c_1001_0^10 - 17/2*c_1001_0^9 - 27*c_1001_0^8 - 23*c_1001_0^7 - 24*c_1001_0^6 - 19*c_1001_0^5 - 21/2*c_1001_0^4 - 13/2*c_1001_0^3 - c_1001_0^2 - 1/2*c_1001_0 - 1/2, c_0101_8 + 2*c_1001_0^32 + 4*c_1001_0^31 + 20*c_1001_0^30 + 32*c_1001_0^29 + 93*c_1001_0^28 + 131*c_1001_0^27 + 276*c_1001_0^26 + 353*c_1001_0^25 + 583*c_1001_0^24 + 691*c_1001_0^23 + 934*c_1001_0^22 + 1028*c_1001_0^21 + 1166*c_1001_0^20 + 1174*c_1001_0^19 + 1144*c_1001_0^18 + 1016*c_1001_0^17 + 858*c_1001_0^16 + 624*c_1001_0^15 + 452*c_1001_0^14 + 224*c_1001_0^13 + 113*c_1001_0^12 - 23*c_1001_0^11 - 58*c_1001_0^10 - 89*c_1001_0^9 - 81*c_1001_0^8 - 71*c_1001_0^7 - 48*c_1001_0^6 - 30*c_1001_0^5 - 10*c_1001_0^4 - 8*c_1001_0^3 - 2*c_1001_0^2 - 2*c_1001_0, c_0110_10 + c_1001_0^2 + 1, c_1001_0^33 + 3*c_1001_0^32 + 13*c_1001_0^31 + 28*c_1001_0^30 + 72*c_1001_0^29 + 127*c_1001_0^28 + 245*c_1001_0^27 + 372*c_1001_0^26 + 583*c_1001_0^25 + 781*c_1001_0^24 + 1037*c_1001_0^23 + 1240*c_1001_0^22 + 1426*c_1001_0^21 + 1518*c_1001_0^20 + 1528*c_1001_0^19 + 1428*c_1001_0^18 + 1253*c_1001_0^17 + 991*c_1001_0^16 + 731*c_1001_0^15 + 448*c_1001_0^14 + 236*c_1001_0^13 + 56*c_1001_0^12 - 47*c_1001_0^11 - 101*c_1001_0^10 - 109*c_1001_0^9 - 98*c_1001_0^8 - 73*c_1001_0^7 - 52*c_1001_0^6 - 26*c_1001_0^5 - 12*c_1001_0^4 - 4*c_1001_0^3 - 3*c_1001_0^2 - 2*c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.340 Total time: 4.549 seconds, Total memory usage: 32.09MB